Binomial Theorem
What is the number of terms in the expansion of $(x + y)^{n}$?
What is the general term ($r+1$-th term) in the expansion of $(x + y)^{n}$?
What is the sum of binomial coefficients ${}^{n}C_{0} + {}^{n}C_{1} + {}^{n}C_{2} + \dots + {}^{n}C_{n}$?
If $n$ is even, the middle term in the expansion of $(x + y)^{n}$ is:
If $n$ is odd, the middle terms in the expansion of $(x + y)^{n}$ are:
What is the value of ${}^{n}C_{r} + {}^{n}C_{r-1}$?
What is the coefficient of $x^{0}$ (constant term) in the expansion of $(x + \frac{1}{x})^{2n}$?
What is the value of ${}^{n}C_{0}$?
If ${}^{n}C_{8} = {}^{n}C_{2}$, what is the value of $n$?
What is the expansion of $(1 - x)^{n}$ when $n$ is a positive integer?
What is the value of the sum of coefficients at odd positions in $(1 + x)^{n}$?
What is the index of the last term in the expansion of $(x + y)^{n}$?
Which of the following represents the binomial theorem for any positive integer $n$?
What is the coefficient of $x^{3}$ in the expansion of $(1 + x)^{6}$?
What is the sum of coefficients at even positions in $(1 + x)^{n}$?
What is the value of ${}^{n}C_{n}$?
For what value of $r$ is ${}^{n}C_{r}$ maximum when $n$ is an even integer?
What is the 4th term in the expansion of $(x + 2y)^{3}$?
What is the relation between ${}^{n}C_{r}$ and ${}^{n}C_{n-r}$?
What is the coefficient of $x^{2}$ in the expansion of $(1 - 2x)^{5}$?